Solve -5(4y-6)-y=-4(y-2)

$$-5(4y-6)-y=-4(y-2)$$

Solve for y

$$y = \frac{22}{17} = 1\frac{5}{17} \approx 1.294117647$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 4y-6.

$$-20y+30-y=-4\left(y-2\right)$$

Combine -20y and -y to get -21y.

$$-21y+30=-4\left(y-2\right)$$

Use the distributive property to multiply -4 by y-2.

$$-21y+30=-4y+8$$

Add 4y to both sides.

$$-21y+30+4y=8$$

Combine -21y and 4y to get -17y.

$$-17y+30=8$$

Subtract 30 from both sides.

$$-17y=8-30$$

Subtract 30 from 8 to get -22.

$$-17y=-22$$

Divide both sides by -17.

$$y=\frac{-22}{-17}$$

Fraction \frac{-22}{-17} can be simplified to \frac{22}{17} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{22}{17}$$